The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.
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Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.
Minimizers of strongly A-quasiconvex variational problems with linear growth are partially continuous.
Proves Šilhavý's majorant condition implies the Minkowski-type condition of Chen-Torres-Irving under mild geometry, and constructs examples where the latter allows arbitrary normal trace measure concentrations.
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
citing papers explorer
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On a theorem of M. Jodeit Jr. on pushforwards of Fourier multipliers
The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.
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Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces
Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.
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Partial regularity for $\mathscr{A}$-quasiconvex variational problems of linear growth
Minimizers of strongly A-quasiconvex variational problems with linear growth are partially continuous.
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Admissibility criteria for normal traces and Cauchy fluxes
Proves Šilhavý's majorant condition implies the Minkowski-type condition of Chen-Torres-Irving under mild geometry, and constructs examples where the latter allows arbitrary normal trace measure concentrations.
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Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.